Chapter 4, Problem 21CR

To determine

To write the fraction in simplest form $\frac{6ab}{4b^2}$

Answer to Problem 21CR

  $\frac{3a}{2b}$

Explanation of Solution

Given information:

Expression $\frac{6ab}{4b^2}$

Formula Used: Quotient rule with same base and Negative Exponent Rule

Calculation:

The Quotient Rule with same base says that when the bases are same and in division, the exponent powers are subtracted. In the given expression, have b in both numerator & denominator. On applying the Quotient rule,have

  $=\frac{6a}{4}\times \left(\frac{b^1}{b^2}\right)$

6 and 4 will divide to give us $\frac{3}{2}$

On applying the Quotient rule, get-

  $=\frac{3a}{2}\times \left(b^{1-2}\right)$

Hence,

  $=\frac{3a}{2}\times \left(b^{-1}\right)$

now apply the negative exponent rule to b.

  $=\frac{3a}{2b}$

Conclusion-

  $=\frac{3a}{2b}$